TSTP Solution File: GEO056-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO056-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:49:27 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO056-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 19:08:30 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3I2nWrw8fY/cvc5---1.0.5_15016.p...
% 0.22/0.50 ------- get file name : TPTP file name is GEO056-2
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15016.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for GEO056-2
% 0.22/0.53 % SZS output start Proof for GEO056-2
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (tptp.reflection tptp.u tptp.v))) (let ((_let_2 (= tptp.v _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.u tptp.v))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.reflection U V) (tptp.extension U V U V))))) (let ((_let_6 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))))) (let ((_let_8 (tptp.extension tptp.u tptp.v tptp.u tptp.v))) (let ((_let_9 (= tptp.v _let_8))) (let ((_let_10 (tptp.equidistant tptp.v _let_8 tptp.v tptp.v))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (_let_7))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (not _let_12))) (let ((_let_16 (= _let_1 _let_8))) (let ((_let_17 (not _let_9))) (let ((_let_18 (_let_5))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (ASSUME :args (_let_3)))) (let ((_let_21 (and _let_3 _let_16))) (let ((_let_22 (_let_3 _let_16))) (let ((_let_23 (ASSUME :args (_let_16)))) (let ((_let_24 (REFL :args (tptp.v)))) (let ((_let_25 (tptp.equidistant tptp.v _let_8 tptp.u tptp.v))) (let ((_let_26 (= tptp.v tptp.u))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (SYMM (ASSUME :args (_let_4))))) (let ((_let_30 (and _let_26 _let_25))) (let ((_let_31 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.v _let_8 tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equidistant X Y Z Z) false))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_9 _let_15))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_30)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_31 _let_29) (SCOPE (TRUE_ELIM (TRANS (CONG _let_24 (REFL :args (_let_8)) (SYMM (SYMM _let_29)) _let_24 :args (APPLY_UF tptp.equidistant)) (TRUE_INTRO _let_31))) :args (_let_25 _let_26))) :args (_let_26 _let_25))) :args (true _let_30)) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.v tptp.u tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.extension X Y W V)))) :args _let_27)) _let_28 :args (_let_25 false _let_6)) :args (_let_10 false _let_26 false _let_25)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_21)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_20 _let_23) (SCOPE (FALSE_ELIM (TRANS (CONG _let_24 (SYMM _let_23) :args (=)) (FALSE_INTRO _let_20))) :args _let_22)) :args _let_22)) :args (true _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_16))) (REFL :args (_let_17)) :args (or))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.reflection U V)))) :args _let_18)) _let_19 :args (_let_16 false _let_5)) :args (_let_17 true _let_2 false _let_16)) :args (_let_15 false _let_10 true _let_9)) _let_14 :args (false true _let_12 false _let_7)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) _let_6 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U V (tptp.euclid1 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U X (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between (tptp.euclid1 U V W X Y) Y (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between V1 (tptp.continuous U V V1 W X X1) X1))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.53 % SZS output end Proof for GEO056-2
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------